tan(x)sin^2(y)dx+cos^2(x)cot(y)dy=0

解

tan (x) sin^{2} (y) d x + cos^{2} (x) cot (y) d y = 0

y = arccsc (tan^{2} (x) - c_{1}) + 2 πn, y = π + arccsc (- tan^{2} (x) - c_{1}) + 2 πn, y = arccsc (- tan^{2} (x) - c_{1}) + 2 πn, y = π + arccsc (tan^{2} (x) - c_{1}) + 2 πn

解答ステップ

tan (x) sin^{2} (y) d x + cos^{2} (x) cot (y) d y = 0

分離可能 ODE を解く:

y = arccsc (tan^{2} (x) - c_{1}) + 2 πn, y = π + arccsc (- tan^{2} (x) - c_{1}) + 2 πn, y = arccsc (- tan^{2} (x) - c_{1}) + 2 πn, y = π + arccsc (tan^{2} (x) - c_{1}) + 2 πn

y = arccsc (tan^{2} (x) - c_{1}) + 2 πn, y = π + arccsc (- tan^{2} (x) - c_{1}) + 2 πn, y = arccsc (- tan^{2} (x) - c_{1}) + 2 πn, y = π + arccsc (tan^{2} (x) - c_{1}) + 2 πn